| Exam Board | OCR |
|---|---|
| Module | H240/02 (Pure Mathematics and Statistics) |
| Year | 2018 |
| Session | December |
| Marks | 7 |
| Topic | Data representation |
| Type | Compare or interpret cumulative frequency graphs |
| Difficulty | Moderate -0.8 This is a straightforward cumulative frequency graph interpretation question requiring only reading values from graphs and basic proportional reasoning. Parts (a)-(c) involve standard median/proportion calculations from cumulative frequency curves, while (d)-(e) test understanding of graph interpretation rather than mathematical computation. No complex calculations or novel problem-solving required—purely routine statistical graph reading skills. |
| Spec | 2.02a Interpret single variable data: tables and diagrams |
Paul drew a cumulative frequency graph showing information about the numbers of people in various age-groups in a certain region X. He forgot to include the scale on the cumulative frequency axis, as shown below.
\includegraphics{figure_12}
\begin{enumerate}[label=(\alph*)]
\item Find an estimate of the median age of the population of region X. [1]
\item Find an estimate of the proportion of people aged over 60 in region X. [2]
\end{enumerate}
Sonika drew similar cumulative graphs for another two regions, Y and Z, but she included the scales on the cumulative frequency axes, as shown below.
\includegraphics{figure_12b}
\begin{enumerate}[label=(\alph*)]
\setcounter{enumi}{2}
\item Find an age group, of width 20 years, in which region Z has approximately 3 times as many people as region Y. [1]
\item State one advantage and one disadvantage of using Sonika's two diagrams to compare the populations in Regions Y and Z. [2]
\item Without calculation state, with a reason, which of regions Y or Z has the greater proportion of people aged under 40. [1]
\end{enumerate}
\hfill \mbox{\textit{OCR H240/02 2018 Q12 [7]}}